What is the answer to 2m+4sqrt(2m-3)+1=m+7 ?

The answer to 2m+4sqrt(2m-3)+1=m+7 is m=2

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2m+4sqrt(2m-3)+1=m+7

2 m + 4 2 m - 3 + 1 = m + 7

m = 2

Solution steps

2 m + 4 2 m - 3 + 1 = m + 7

Remove square roots

32 m - 48 = m^{2} - 12 m + 36

Solve

32 m - 48 = m^{2} - 12 m + 36 : m = 42, m = 2

m = 42, m = 2

Verify Solutions:

m = 42

False

, m = 2

True

The solution is

m = 2

v^{\frac{1}{4}} = 3

2 x + 10 = - x - 1

x - \frac{x}{2} = 0

6 - x + 5 = 10

x^{2} - 7 x - 2 = x^{2} - 7 x - 14

What is the answer to 2m+4sqrt(2m-3)+1=m+7 ?
The answer to 2m+4sqrt(2m-3)+1=m+7 is m=2
Solve for m: 2m+4sqrt(2m-3)+1=m+7
The solution is m=2